42648076800 has 1440 divisors, whose sum is σ = 193160077440. Its totient is φ = 9024307200.

The previous prime is 42648076789. The next prime is 42648076813. The reversal of 42648076800 is 867084624.

42648076800 is a `hidden beast` number, since 4 + 26 + 480 + 76 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 699148770 + ... + 699148830.

Almost surely, 2^42648076800 is an apocalyptic number.

42648076800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42648076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96580038720).

42648076800 is an abundant number, since it is smaller than the sum of its proper divisors (150512000640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42648076800 is a wasteful number, since it uses less digits than its factorization.

42648076800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 42648076800 in words is "forty-two billion, six hundred forty-eight million, seventy-six thousand, eight hundred".